Question

如图,OF平分∠COB,OE平分∠AOC,∠BOC=60°,∠AOC+∠EOF=210° 求∠AOF

Answer 1

OF平分∠COB

∠FOC=∠FOB=(1/2)∠BOC=60/2=30

∠EOF=∠EOC-∠FOB=(1/2)∠AOC-30

则

∠AOC+∠EOF=∠AOC+(1/2)∠AOC-30=210

(3/2)∠AOC=240

∠AOC=160

∠AOF=∠AOC-∠FOC=160-30=130°

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